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20400386760 = 23335131453019
BaseRepresentation
bin10010111111111101…
…010011001011001000
31221122201221000122000
4102333331103023020
5313234444334020
613212151031000
71321353266145
oct227775231310
957581830560
1020400386760
118719539576
123b5406b460
131c01623290
14db754b3cc
157e5ea9090
hex4bff532c8

20400386760 has 128 divisors (see below), whose sum is σ = 73232208000. Its totient is φ = 5021630208.

The previous prime is 20400386759. The next prime is 20400386771. The reversal of 20400386760 is 6768300402.

20400386760 is a `hidden beast` number, since 204 + 0 + 0 + 386 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712470 + ... + 740549.

It is an arithmetic number, because the mean of its divisors is an integer number (572126625).

Almost surely, 220400386760 is an apocalyptic number.

20400386760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400386760 is an abundant number, since it is smaller than the sum of its proper divisors (52831821240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20400386760 is a wasteful number, since it uses less digits than its factorization.

20400386760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453052 (or 1453042 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20400386760 in words is "twenty billion, four hundred million, three hundred eighty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 1453019 2906038 4359057 5812076 7265095 8718114 11624152 13077171 14530190 17436228 18889247 21795285 26154342 29060380 34872456 37778494 39231513 43590570 52308684 56667741 58120760 65385855 75556988 78463026 87181140 94446235 104617368 113335482 130771710 151113976 156926052 170003223 174362280 188892470 196157565 226670964 261543420 283338705 313852104 340006446 377784940 392315130 453341928 510009669 523086840 566677410 680012892 755569880 784630260 850016115 1020019338 1133354820 1360025784 1569260520 1700032230 2040038676 2266709640 2550048345 3400064460 4080077352 5100096690 6800128920 10200193380 20400386760